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curve #1443

y² + xy + y = x³ − 18791x + 989850

a-invariants: [1, 0, 1, -18791, 989850]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/6ℤ
conductor (N): 15022
discriminant (Δ): 707476112
Faltings height: 0.9926
naive height: 41.1369
primes of bad reduction: 2, 7, 29, 37
regulator: 8.66879235225177820030472780378207180493936
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:49:41 UTC
last updated: 2026-09-24 23:49:41 UTC

Witness: 2 independent points log in to add more points →

(-65, 1424)
(-96, -1335)

Commentary

Torsion Z/6. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:49:42 UTC · history

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